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Dunkl operators for symplectic reflection algebras of wreath-product types

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Algebraic Lie Theory

I will speak on an analogue of Dunkl operators attached to wreath-product of a symmetric group and a finite subgroup of SL(2,C). These operators are a main ingredient in the realization of the spherical subalgebra of symplectic reflection algebras of wreath-product types by quantum hamiltonian reduction. This is a joint work with P. Etingof, V. Ginzburg and A. Oblomkov which appeared in Publ. Math IHES no. 105.

This talk is part of the Isaac Newton Institute Seminar Series series.

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